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Finding the Fourth Proportional to 442,106.04, 662,604.51 and 189,089.58

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Solution

The fourth proportional to 442,106.04, 662,604.51 and 189,089.58 is: 283,397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,106.04 : 662,604.51 = 189,089.58 : x
  2. Step 2: Convert to fraction form
    442,106.04/662,604.51 = 189,089.58/x
  3. Step 3: Cross multiply
    442,106.04x = 662,604.51 × 189,089.58
  4. Step 4: Simplify right side
    442,106.04x = 125,291,608,502.01
  5. Step 5: Solve for x
    x = 125,291,608,502.01/442,106.04
  6. Step 6: Final answer
    x = 283,397.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.